(d) What is the median checkout duration ? [solve 0.5 = F)]. (e) Obtain the density function f(x). f(x) = f'(x) (f) Calculate E(X). 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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please answer letters d, e, and f

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following.
+
16
1
F(x) =
0 x < 0
Use the odf to obtain the following. (If necessary, round your answer to four decimal places.)
(a) Calculate P(X ≤ 2).
0.25
0<x< 4
4 SX
(b) Calculate P(1.5 ≤ x ≤ 2).
0.1094
(c) Calculate P(X > 2.5).
0.6094
(d) What is the median checkout duration ? [solve 0.5 = F)].
(f) Calculate E(X).
(e) Obtain the density function f(x).
f(x) = f'(x)
0<x< 4
otherwise
Transcribed Image Text:Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. + 16 1 F(x) = 0 x < 0 Use the odf to obtain the following. (If necessary, round your answer to four decimal places.) (a) Calculate P(X ≤ 2). 0.25 0<x< 4 4 SX (b) Calculate P(1.5 ≤ x ≤ 2). 0.1094 (c) Calculate P(X > 2.5). 0.6094 (d) What is the median checkout duration ? [solve 0.5 = F)]. (f) Calculate E(X). (e) Obtain the density function f(x). f(x) = f'(x) 0<x< 4 otherwise
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